Some Remarks on Weighted Logarithmic Sobolev Inequality

被引：15
|
作者：
Cattiaux, Patrick [1 ]
Guillin, Arnaud [2 ]
Wu, Li-Ming [2 ]
机构：
[1] Univ Toulouse 3, Inst Math Toulouse, CNRS UMR 5219, F-31062 Toulouse 09, France
[2] Univ Blaise Pascal, Lab Math, CNRS UMR 6620, F-63177 Aubiere, France
来源：
INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2011年 / 60卷 / 06期
关键词：
Lyapunov functions; Talagrand transportation information inequality; logarithmic Sobolev inequality; MARKOV PROCESS EXPECTATIONS; FUNCTIONAL INEQUALITIES; ASYMPTOTIC EVALUATION; PROBABILITY-MEASURES; MODERATE DEVIATIONS; SPECTRAL THEORY; FAST DIFFUSION; CONVERGENCE; HYPERCONTRACTIVITY; STABILITY;
D O I：
10.1512/iumj.2011.60.4405
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give here a simple proof of weighted logarithmic Sobolev inequality, for example for Cauchy type measures, with optimal weight, sharpening results of Bobkov-Ledoux [12]. Some consequences are also discussed.
引用
收藏
页码：1885 / 1904
页数：20
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